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Finding the Third Proportional to 606,924 and 874,238

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Solution

The third proportional to 606,924 and 874,238 is: 1,259,287.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,924 : 874,238 = 874,238 : x
  2. Step 2: Convert to fraction form
    606,924/874,238 = 874,238/x
  3. Step 3: Cross multiply
    606,924x = 874,238 × 874,238
  4. Step 4: Simplify right side
    606,924x = 764,292,080,644
  5. Step 5: Solve for x
    x = 764,292,080,644/606,924
  6. Step 6: Final answer
    x = 1,259,287.95

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.